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The second term of an arithmetic sequence is 7. The sum of the first four terms of the arithmetic sequence is 12. Find the first term, a, and the common difference, d, of the sequence.

Let a be the first term Let d be the common difference a + d = 7 S 4 = 4/2 (2a +3d) = 12 Simultaneous equation: a+d =7 // x 6 4a +6d = 12 Difference btween these two 6a + 6d = 42 4a +6d = 12 2a = 30 a = 15 d...
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Answered by Alexander T. • Maths tutor
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What even is abstract reasoning and how is it relevant to medicine

Abstracting Reasoning is a section of the UKCAT that is hated by students. There is no real way to learn it; either this sort of thing works for you, or it is a nightmare. I, like many others, was in the lat...
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Answered by Alexander T. • UCAT tutor
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How do I start writing a personal statement

First, what is a personal statement? Personal statements are essays about yourself, where you try to convince the reader (the admissions team) that you are without a shadow of a doubt the right person for th...
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Why do you want to do medicine?

This is a basic question that can be answered in hours or in seconds. Most medical students don't know why they fully want to do medicine until they reach their clinical years. Naturally, the interviewers wi...
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Newton's Law of Gravitation states: F=GMm/r^2, where G is the gravitational constant (6.67×10−11m^3kg^−1s^−2). Kepler's Third Law, states t^2=kR^3. The mass of the sun is 1.99x10^30kg. Find the value of k and its units

F=GMm/r 2 =mv 2 /r, v=2pir/t equating the two values for F and remembering to include the equation for v, GMm/r^2 = m(2pir/t ^2)^2/r. Rearranging to find t^2, t^2 = 4pi^2r^3/GM where 4pi^2/GM equals the cons...
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Answered by Sam B. • Physics tutor
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